Question
Of the
people attending a lecture, each only have one pen that is either blue, red, or black.
If
people have a blue pen, is the probability
that a randomly selected person will have blue pen?
A
True
B
False
Answers
GPT-4o mini
To determine if the statement is true or false, we need to analyze the information provided:
1. **Total number of people attending the lecture** is given as \( n \).
2. **Number of people with blue pens** is provided as \( k \).
The probability that a randomly selected person has a blue pen can be calculated using the formula:
\[
P(\text{blue pen}) = \frac{\text{Number of people with blue pens}}{\text{Total number of people}} = \frac{k}{n}
\]
Now, without the specific values of \( n \) and \( k \), we can only assess the validity of the statement made in the question. The statement suggests that the probability that a randomly selected person will have a blue pen is as stated.
If \( k \) represents the number of people with blue pens, then the probability is indeed \( \frac{k}{n} \).
Hence, if the question is asking if this probability is accurately reflected by the formula, and assuming the statement provides the correct count, the correct answer would be:
**A True**
If the context or specifics provided in the question differ, or if you were meant to imply some specific ratio or numerical scenario, please clarify, and I can assist further.
1. **Total number of people attending the lecture** is given as \( n \).
2. **Number of people with blue pens** is provided as \( k \).
The probability that a randomly selected person has a blue pen can be calculated using the formula:
\[
P(\text{blue pen}) = \frac{\text{Number of people with blue pens}}{\text{Total number of people}} = \frac{k}{n}
\]
Now, without the specific values of \( n \) and \( k \), we can only assess the validity of the statement made in the question. The statement suggests that the probability that a randomly selected person will have a blue pen is as stated.
If \( k \) represents the number of people with blue pens, then the probability is indeed \( \frac{k}{n} \).
Hence, if the question is asking if this probability is accurately reflected by the formula, and assuming the statement provides the correct count, the correct answer would be:
**A True**
If the context or specifics provided in the question differ, or if you were meant to imply some specific ratio or numerical scenario, please clarify, and I can assist further.